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cot^(-1)(e^(x))...

`cot^(-1)(e^(x))`

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To differentiate the function \( y = \cot^{-1}(e^x) \) with respect to \( x \), we will follow these steps: ### Step 1: Identify the function Let \( y = \cot^{-1}(e^x) \). ### Step 2: Use the differentiation formula for inverse cotangent The derivative of \( \cot^{-1}(u) \) with respect to \( u \) is given by: \[ ...
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